The number 43701
43701 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2081. Divisors (8): 1, 3, 7, 21, 2081, 6243, 14567, 43701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43701 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43701 is composite. Its prime factorisation is
- 3
The divisors add up to 66624; without 43701 itself that is 22923, so 43701 is deficient (22923 is less than 43701). Euler's totient φ(43701) = 24960 numbers up to 43701 share no factor with it.
- 4
The digits of 43701 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43701 = 3 \times 7 \times 2081 \]
43701 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66624 |
| Euler totient φ(n) | 24960 |
| Square | 1909777401 |
| Cube | 83459182201101 |
| Square root | 209.047841 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3701 × |
43701 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and one |
| Binary (base 2) | 1010101010110101 |
| Octal (base 8) | 125265 |
| Hexadecimal (base 16) | AAB5 |
| Base 3 | 2012221120 |
| As time | 43701 seconds = 12 h 8 min 21 s |
Is 43701 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43701 ÷ 3 = 14567) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43701 ÷ 7 = 6243) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43701 a prime number?
No. 43701 = 3 × 7 × 2081, so it is divisible by 3.
What are the factors of 43701?
1, 3, 7, 21, 2081, 6243, 14567, 43701.
What is 43701 in binary?
1010101010110101 (hexadecimal AAB5, octal 125265).
What is the square root of 43701?
About 209.0478.
Is 43701 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 43701?
It is a composite number with 8 divisors.